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Automatic Continuity for Homomorphisms into Free Products

Published online by Cambridge University Press:  12 March 2014

Konstantin Slutsky
Konstantin Slutsky*
Affiliation:
Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 København ø, Denmark, E-mail: kslutsky@gmail.com
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Abstract

A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range. In particular, any completely metrizable group topology on a free product is discrete.

Keywords

Automatic continuityfree product
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 4 , December 2013 , pp. 1288 - 1306
Copyright
Copyright © Association for Symbolic Logic 2013

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References

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